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458 Publications
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2010 | Conference Paper | LibreCat-ID: 29467
B. Thiere, S. Ober-Blöbaum, and P. Pergola, “Detecting initial guesses for trajectories in the (P)CRTBP,” Toronto, Canada, USA, 2010.
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2010 | Conference Paper | LibreCat-ID: 29496
S. Ober-Blöbaum and A. Walther, “Computation of derivatives for structure preserving optimal control using automatic differentiation,” in Proceedings of Applied Mathematics and Mechanics, 2010, vol. 10(1), pp. 585–586.
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2010 | Conference Paper | LibreCat-ID: 29495
K. Flaßkamp, S. Ober-Blöbaum, and M. Kobilarov, “Solving optimal control problems by using inherent dynamical properties,” in Proceedings of Applied Mathematics and Mechanics, 2010, vol. 10(1), pp. 577–578.
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2010 | Journal Article | LibreCat-ID: 34886
É. Fouvry and J. Klüners, “On the negative Pell equation,” Annals of Mathematics, vol. 172, no. 3, pp. 2035–2104, 2010, doi: 10.4007/annals.2010.172.2035.
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2010 | Journal Article | LibreCat-ID: 34888
É. Fouvry and J. Klüners, “The parity of the period of the continued fraction of d,” Proceedings of the London Mathematical Society, vol. 101, no. 2, pp. 337–391, 2010, doi: 10.1112/plms/pdp057.
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2010 | Journal Article | LibreCat-ID: 34887
É. Fouvry and J. Klüners, “On the Spiegelungssatz for the 4-rank,” Algebra & Number Theory, vol. 4, no. 5, pp. 493–508, 2010, doi: 10.2140/ant.2010.4.493.
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2010 | Journal Article | LibreCat-ID: 42803
M. Kirschmer and J. Voight, “Algorithmic Enumeration of Ideal Classes for Quaternion Orders,” SIAM Journal on Computing, vol. 39, no. 5, pp. 1714–1747, 2010, doi: 10.1137/080734467.
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2009 | Journal Article | LibreCat-ID: 16573
M. Dellnitz, G. Froyland, C. Horenkamp, K. Padberg-Gehle, and A. Sen Gupta, “Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical investigation based on transfer operators,” Nonlinear Processes in Geophysics, pp. 655–663, 2009.
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2009 | Conference Paper | LibreCat-ID: 16661
C. Romaus, J. Bocker, K. Witting, A. Seifried, and O. Znamenshchykov, “Optimal energy management for a hybrid energy storage system combining batteries and double layer capacitors,” in 2009 IEEE Energy Conversion Congress and Exposition, 2009.
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2009 | Journal Article | LibreCat-ID: 29412
M. Dellnitz, S. Ober-Blöbaum, M. Post, O. Schütze, and B. Thiere, “A multi-objective approach to the design of low thrust space trajectories using optimal control,” Celestial Mechanics and Dynamical Astronomy, vol. 105, pp. 33–59, 2009.
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2009 | Conference Paper | LibreCat-ID: 29470
S. Nair, S. Ober-Blöbaum, and J. E. Marsden, “The Jacobi-Maupertuis principle in variational integrators,” in 7th International Conference of Numerical Analysis and Applied Mathematics, Rethymno, Crete, Greece, 2009, pp. 464–466.
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2009 | Conference Paper | LibreCat-ID: 29471
M. Gehler, S. Ober-Blöbaum, and B. Dachwald, “Application of discrete mechanics and optimal control to spacecraft in non-Keplerian motion around small solar systems,” Daejeon, Republic of Korea, 2009.
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2009 | Conference Paper | LibreCat-ID: 29473
A. Moore, S. Ober-Blöbaum, and J. E. Marsden, “Optimization of spacecraft trajectories: a method combining invariant manifold techniques and descrete mechanics and optimal ,” Savannah, Georgia, USA, 2009.
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2009 | Conference Paper | LibreCat-ID: 29472
M. Gehler, S. Ober-Blöbaum, B. Dachwald, and J. E. Marsden, “Optimal control of gravity tractor spacecraft near arbitrarily shaped asteroids,” Granada, Spain, 2009.
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2009 | Journal Article | LibreCat-ID: 34889
K. Belabas, M. van Hoeij, J. Klüners, and A. Steel, “Factoring polynomials over global fields,” Journal de Théorie des Nombres de Bordeaux, vol. 21, no. 1, pp. 15–39, 2009, doi: 10.5802/jtnb.655.
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| DOI
| arXiv
2009 | Book Chapter | LibreCat-ID: 35959
J. Klüners, “The van Hoeij Algorithm for Factoring Polynomials,” in The LLL Algorithm, Berlin, Heidelberg: Springer Berlin Heidelberg, 2009.
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2009 | Dissertation | LibreCat-ID: 43453
M. Kirschmer, Finite symplectic matrix groups (Dissertation). RWTH Aachen University, 2009.
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2008 | Conference Paper | LibreCat-ID: 16623
B. Klöpper, H. Podlogar, J. Gausemeier, and K. Witting, “Domain Spanning Search for the Identification of Solution Patterns for the Conceptual Design of Self-Optimizing Systems,” in 2008 19th International Conference on Database and Expert Systems Applications, 2008.
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2008 | Conference Paper | LibreCat-ID: 17031
J. Geisler, K. Witting, A. Trächtler, and M. Dellnitz, “Self-Optimization of the Guidance Module of a Rail-bound Vehicle,” in 7th International Heinz Nixdorf Symposium: Self-optimizing Mechatronic Systems: Designing the Future, 2008.
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2008 | Conference Paper | LibreCat-ID: 29474
W. Zhang, T. Inanc, S. Ober-Blöbaum, and J. E. Marsden, “Optimal trajectory generation for a dynamic glider in ocean flows modeled by 3d B-spline functions,” Pasadena, CA, USA, 2008.
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2007 | Conference Paper | LibreCat-ID: 16630
S. Leyendecker, S. Ober-Blöbaum, J. E. Marsden, and M. Ortiz, “Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics,” in Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2007.
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2007 | Report | LibreCat-ID: 17028
M. Vasile, O. Schütze, O. Junge, G. Radice, and M. Dellnitz, Spiral Trajectories in Global Optimisation of Interplanetary and Orbital Transfers. European Space Agency, 2007.
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2006 | Book Chapter | LibreCat-ID: 20056
M. Dellnitz, O. Junge, A. Krishnamurthy, S. Ober-Blöbaum, K. Padberg, and R. Preis, “Efficient Control of Formation Flying Spacecraft,” in Friedhelm Meyer auf der Heide and Burkhard Monien, editors, New Trends in Parallel & Distributed Computing, vol. 181, Heinz Nixdorf Institut Verlagsschriftreihe, 2006, pp. 235–247.
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2006 | Conference Paper | LibreCat-ID: 29488
O. Junge, J. E. Marsden, and S. Ober-Blöbaum, “Optimal reconfiguration of formation flying spacecraft - a decentralized approach,” in 45th IEEE Conference on Decision and Control, San Diego, CA, USA, 2006, pp. 5210–5215.
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2006 | Journal Article | LibreCat-ID: 34895
J. Klüners and G. Malle, “Counting nilpotent Galois extensions,” Journal für die reine und angewandte Mathematik (Crelles Journal), vol. 2004, no. 572, pp. 1–26, 2006, doi: 10.1515/crll.2004.050.
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| arXiv
2006 | Journal Article | LibreCat-ID: 34891
J. Klüners, “Asymptotics of number fields and the Cohen–Lenstra heuristics,” Journal de Théorie des Nombres de Bordeaux, vol. 18, no. 3, pp. 607–615, 2006, doi: 10.5802/jtnb.561.
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| DOI
| arXiv
2006 | Journal Article | LibreCat-ID: 34890
É. Fouvry and J. Klüners, “On the 4-rank of class groups of quadratic number fields,” Inventiones mathematicae, vol. 167, no. 3, pp. 455–513, 2006, doi: 10.1007/s00222-006-0021-2.
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2006 | Book Chapter | LibreCat-ID: 35958
É. Fouvry and J. Klüners, “Cohen–Lenstra Heuristics of Quadratic Number Fields,” in Lecture Notes in Computer Science, Berlin, Heidelberg: Springer Berlin Heidelberg, 2006.
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2006 | Journal Article | LibreCat-ID: 34892
J. Klüners, “The number of S₄-fields with given discriminant,” Acta Arithmetica, vol. 122, no. 2, pp. 185–194, 2006, doi: 10.4064/aa122-2-3.
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| DOI
| arXiv
2005 | Journal Article | LibreCat-ID: 34894
J. Klüners, “A counter example to Malle’s conjecture on the asymptotics of discriminants,” Comptes Rendus Mathematique, vol. 340, no. 6, pp. 411–414, 2005, doi: 10.1016/j.crma.2005.02.010.
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| arXiv
2005 | Journal Article | LibreCat-ID: 34893
J. Klüners and S. Pauli, “Computing residue class rings and Picard groups of orders,” Journal of Algebra, vol. 292, no. 1, pp. 47–64, 2005, doi: 10.1016/j.jalgebra.2005.04.013.
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2005 | Misc | LibreCat-ID: 42807
J. Klüners, Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation). Universiät Kassel: Shaker Verlag, 2005.
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2005 | Mastersthesis | LibreCat-ID: 43455
M. Kirschmer, Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit). Universität Ulm, 2005.
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2003 | Journal Article | LibreCat-ID: 16498
P. J. Aston and M. Dellnitz, “Computation of the dominant Lyapunov exponent via spatial integration using matrix norms,” Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, pp. 2933–2955, 2003.
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2003 | Journal Article | LibreCat-ID: 34896
C. Fieker and J. Klüners, “Minimal discriminants for fields with small Frobenius groups as Galois groups,” Journal of Number Theory, vol. 99, no. 2, pp. 318–337, 2003, doi: 10.1016/s0022-314x(02)00071-9.
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2002 | Journal Article | LibreCat-ID: 35954
J. Klüners, “Algorithms for function fields,” Experiment. Math. , vol. 11, no. 2, pp. 171–181, 2002.
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2001 | Journal Article | LibreCat-ID: 34897
J. Klüners and G. Malle, “A Database for Field Extensions of the Rationals,” LMS Journal of Computation and Mathematics, vol. 4, pp. 182–196, 2001, doi: 10.1112/s1461157000000851.
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| DOI
| arXiv
2000 | Journal Article | LibreCat-ID: 34900
K. Geissler and J. Klüners, “Galois Group Computation for Rational Polynomials,” Journal of Symbolic Computation, vol. 30, no. 6, pp. 653–674, 2000, doi: 10.1006/jsco.2000.0377.
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